Georg Cantor

Felix Hausdorff and the Basic Principles of Set Theory

Felix Hausdorff and the Basic Principles of Set Theory

On November 8, 1868, German mathematician Felix Hausdorff was born. He is considered a co-founder of general topology and made significant contributions to general and descriptive set theory, measure theory, functional analysis and algebra. In addition to his profession, he also worked as a philosophical writer and literary figure under the pseudonym Paul Mongré. Felix Hausdorff – Early Years Felix Hausdorff was born in Breslau, Kingdom of Prussia, today Wroclaw in Poland. Hausdorff’s…
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Alfred Tarski and the Undefinability of Truth

Alfred Tarski and the Undefinability of Truth

On January 14, 1902, Polish-American mathematician and logician Alfred Tarski was born. A prolific author he is best known for his work on model theory, metamathematics, and algebraic logic, he also contributed to abstract algebra, topology, geometry, measure theory, mathematical logic, set theory, and analytic philosophy. For my Semantic Web Technologies lecture series I always introduce my students to model-theoretic semantics as means to enable a formal representation of meaning for languages. I…
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Georg Cantor and the Beauty of Infinity

Georg Cantor and the Beauty of Infinity

On March 3, 1845, German mathematician Georg Cantor, creator of the set theory was born. Set Theory is considered the fundamental theory of mathematics. He also proved that the real numbers are “more numerous” than the natural numbers, which was quite shocking for his contemporaries that there should be different numbers of infinity. “In mathematics the art of asking questions is more valuable than solving problems.” – Georg Cantor, Doctoral thesis (1867) Youth…
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Karl Weierstrass – the Father of Modern Analysis

Karl Weierstrass – the Father of Modern Analysis

On February 19, 1897, German mathematician Karl Theodor Wilhelm Weierstrass passed away. Weierstrass often is cited as the “father of modern analysis“. He formalized the definition of the continuity of a function, proved the intermediate value theorem and the Bolzano–Weierstrass theorem, and used the latter to study the properties of continuous functions on closed bounded intervals. “… it is true that a mathematician who is not somewhat of a poet, will never be a…
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